Conduct 2x3 repeated measures ANOVA using ranova()

Dear all,

unfortunateley, I do not really understand the ranova function from Matlab. Let`s say I have created the following dummy RESULTS table

RESULTS =

  20×7 table

      SUBJ       C1_A      C1_B      C1_C      C2_A      C2_B      C2_C 
    ________    ______    ______    ______    ______    ______    ______

    'SUBJ1'     104.15    71.423    95.048    127.91    135.95    82.131
    'SUBJ2'     103.48     76.25    94.809    97.269    113.05    80.021
    'SUBJ3'     103.49     56.46    91.142    94.082    127.77     85.43
    'SUBJ4'     92.708    72.839     95.96    88.426     124.5    72.077
    'SUBJ5'     103.27     59.93    102.99    118.47    134.21    82.212
    'SUBJ6'     94.851    80.454    101.65    157.41    134.53    81.195
    'SUBJ7'     91.036    92.796    83.177    122.37    134.46    78.617
    'SUBJ8'     87.967    86.064     99.72    96.858       126    89.569
    'SUBJ9'     110.38    69.491    92.079    124.22    123.41     79.86
    'SUBJ10'    91.541    55.542    83.933    90.818    123.51    88.784
    'SUBJ11'    98.271     101.9     75.68    85.784    139.39    91.831
    'SUBJ12'    87.913    110.75    97.764     122.2    109.62    83.902
    'SUBJ13'    97.029    81.808    85.757    96.776    127.72    86.945
    'SUBJ14'     67.68    65.151    90.557    115.37    132.97    89.477
    'SUBJ15'     89.13    97.967    80.485    133.91    122.82    84.433
    'SUBJ16'    85.736     71.11    71.394    116.82    135.25    88.786
    'SUBJ17'    89.855    72.953    92.059     125.8    129.22    76.162
    'SUBJ18'    97.867    93.296    89.254    82.701    119.68    92.773
    'SUBJ19'    96.747    59.222    104.39    121.25    131.77    78.073
    'SUBJ20'    119.44    50.649     99.62    146.35    127.05    72.198

by the following code:

C1_A = 10.*randn(20,1) + 100; C1_B = 15.*randn(20,1) + 80;
C1_C = 12.*randn(20,1) + 90;  C2_A = 17.*randn(20,1) + 110;
C2_B = 11.*randn(20,1) + 130; C2_C = 7.*randn(20,1) + 85;

SUBJ = {}; 
for s=1:20
   SUBJ = [SUBJ; ['SUBJ' num2str(s)] ];
end

RESULTS = table(SUBJ, C1_A, C1_B, C1_C, C2_A, C2_B, C2_C)

Based on this RESULTS table, how can I now know conduct a 2x3 repeated measures ANOVA with the two within subjects factors "Condition" (C1, C2) and "Measurement Time" (A, B, C)?

I would be very thankful for your help.

[brainybrown]

No one an idea? Would be very thankful for your help.

Answer 1

[Jeff Miller]

% Describe within-Ss design:
WithinFacs = table([1 1 1 2 2 2]',[1 2 3 1 2 3]','VariableNames',{'C1','C2'});
% In the next line, '~1' indicates that there are no between-Ss factors.
rm = fitrm(RESULTS,'C1_A-C2_C~1','WithinDesign',WithinFacs);
[ranovatable, A, C, D] = ranova(rm,'WithinModel','C1*C2');

Also see related question for a little explanation.

[Jeff Miller]

I no longer think this answer is correct. See related question link for further information.